Question

Subtract the second polynomial from the first. 

i. 5x² – 2y + 9; 3x² + 5y – 7 

ii. 2x² + 3x + 5; x² – 2x + 3

Answer 1

i. (5x² – 2y + 9) - (3x² + 5y – 7)

= 5x² – 2y + 9 – 3x² – 5y + 1 

= 5x² – 3x² – 2y – 5y + 9 + 7 

= 2x² – 1y + 16

ii. (2x² + 3x + 5) - (x² – 2x + 3)

= 2x² + 3x + 5 – x² + 2x – 3 

= 2x² – x² + 3x + 2x + 5 – 3 

= x² + 5x + 2